A hinge device for rotatably moving a closing element includes a fixed element anchorable to a stationary support structure coupled to a movable element anchorable to the closing element for rotating around a first longitudinal axis between an open position and a closed position. The device further includes at least one slider movable along a second axis between a compressed and an extended position. One between the movable element and the fixed element includes at least one operating chamber defining the second axis so as to slidably house the slider, the other element including a pivot defining the first axis. The pivot and the slider are reciprocally coupled so that to the rotation of the movable element around the first axis corresponds the sliding of the slider along the second axis and vice versa.